Discrete fractional Calculus and Inequalities

By George A. Anastassiou. 2009

48 citations recorded by the source corpus.

Here we define a Caputo like discrete fractional difference and we compare it to the earlier defined Riemann-Liouville fractional discrete analog. Then we produce discrete fractional Taylor formulae for the first time, and we estimate their remainders. Finally, we derive related discrete fractional Ostrowski, Poincare and Sobolev type inequalities.

Subfields: Applied Mathematics, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f1299cc446bfbe22cce2c8e5f717ca3a81106cdd

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In Applied Mathematics

1. Fulai Chen
2. Q. Al‐Mdallal
3. Raghib M. Abu-Saris

In Mechanics of Materials

1. Fulai Chen

In Statistics and Probability

1. Fulai Chen

Citations in the corpus

• Fixed points and asymptotic stability of nonlinear fractional difference equations (2011, background): “[2] G. A. Anastassiou, Discrete fractional calculus and inequalities, arXiv:0911.”